(2/3-1/2)^2*1/27+sqrt{1/20+frac{11}{100}}= eching

$$( \frac { 2 } { 3 } - \frac { 1 } { 2 } ) ^ { 2 } \cdot \frac { 1 } { 27 } + \sqrt { \frac { 1 } { 20 } + \frac { 11 } { 100 } } =$$

Baholash

$$\frac{1949}{4860}\approx 0,401028807$$

Yechim qadamlari

\frac{1}{6} olish uchun \frac{2}{3} dan \frac{1}{2} ni ayirish.

$$\left(\frac{1}{6}\right)^{2}\times \frac{1}{27}+\sqrt{\frac{1}{20}+\frac{11}{100}}$$

2 daraja ko‘rsatkichini \frac{1}{6} ga hisoblang va \frac{1}{36} ni qiymatni oling.

$$\frac{1}{36}\times \frac{1}{27}+\sqrt{\frac{1}{20}+\frac{11}{100}}$$

\frac{1}{972} hosil qilish uchun \frac{1}{36} va \frac{1}{27} ni ko'paytirish.

$$\frac{1}{972}+\sqrt{\frac{1}{20}+\frac{11}{100}}$$

\frac{4}{25} olish uchun \frac{1}{20} va \frac{11}{100}'ni qo'shing.

$$\frac{1}{972}+\sqrt{\frac{4}{25}}$$

\frac{4}{25} boʻlinmasining kvadrat ildizini \frac{\sqrt{4}}{\sqrt{25}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{1}{972}+\frac{2}{5}$$

\frac{1949}{4860} olish uchun \frac{1}{972} va \frac{2}{5}'ni qo'shing.

$$\frac{1949}{4860}$$

Omil

$$\frac{1949}{2 ^ {2} \cdot 3 ^ {5} \cdot 5} = 0,40102880658436213$$